Answers
Answer:
Step-by-step explanation:
cos(2[tex]\sqrt{23}[/tex]/24)=β
0.9999=β
1=β
Related Questions
A market research company was interested in comparing three communities A, B and C to determine whether there are any differences in their use of water filters in homes. Each of 100 homeowners sampled from each community was asked whether or not they have installed water-filtering system in their homes. Their responses (Yes or No) are summarized in the following contingency table.
Use Filters
Community | Yes | No
A 62 38
B 58 42
C 73 27
a) Clearly state the null and alternative hypotheses in this problem.
b) Calculate the expected count for the bottom right cell (i.e., Community ‘C’ and ’No’), and explain what the number means.
c) The Chi-square statistic has been calculated to be 13.22. What can we conclude from this finding?
Answers
a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.
b) To calculate the expected count for the bottom right cell, we can use the formula:
Expected count = (row total x column total) / grand total
The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:
Expected count = (100 x 100) / 300 = 33.33
The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.
c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.
Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.
A right triangle has a base, b
, that is 6
inches. The area of the triangle, with h
representing the height, is given by the expression
Answers
The height of the triangle is h = 2A/6.
What is height?Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).
To find the height of a right triangle given the base, we can use the area formula A = 1/2bh. Rearranging this equation gives us the height: h = 2A/b. In this case, the base is 6 inches and the area is given as A. Therefore, the height of the triangle is h = 2A/6.
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Nina made two investments:
Investment
A
Astart text, A, end text has a value of
$
50
$50dollar sign, 50 at the end of the first year and increases by
8
%
8%8, percent per year.
Investment
B
Bstart text, B, end text has a value of
$
60
$60dollar sign, 60 at the end of the first year and increases by
$
3
$3dollar sign, 3 per year.
Nina checks the value of her investments once a year, at the end of the year.
What is the first year in which Nina sees that investment
A
Astart text, A, end text's value exceeded investment
B
Bstart text, B, end text's value?
Answers
The requried first year in which Nina sees that investment exceeded investment B is 5th year.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
According to the given data,
Equation models for the given condition are,
For investment A
y = 50(1.08)ˣ
For investment B
y = 60 + 3x
Where y is the total amount after x years of passing.
When plotting the graph of both equations we can see Investment A will surplus the graph of Investment B at x = 5.56
Thus, the requried first year in which Nina sees that investment exceeded investment B is 5th year.
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What is the radius of the
circle?
C = 3.5 m
Pls help
Answers
Answer:
r≈0.56m
Step-by-step explanation:
C=2πr
r=C
2π=3.5
2·π≈0.55704m
In a function, any input yields exactly __________ output.
Answers
Answer: one
Step-by-step explanation:
Determine what number should be added to complete the square of the expression 4x^2-8x
Answers
The number that should be added to complete the square of the expression 4x² - 8x is 1.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
To complete the square of the expression 4x² - 8x, add a constant term that will make it a perfect square trinomial.
First, factor out the coefficient of the x² term -
4x² - 8x = 4(x² - 2x)
Next, add a constant term that will make the expression inside the parentheses a perfect square.
To do this, take half of the coefficient of the x term and square it.
Half of -2 is -1, and (-1)^2 is 1.
So add 1 to the expression inside the parentheses to make it a perfect square -
4x² - 8x + 1 = 4(x² - 2x + 1)
Simplify this expression by factoring the trinomial inside the parentheses -
4x² - 8x + 1 = 4(x - 1)²
Therefore, the number is 1.
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If <1 in the figure above measures 25 degrees, what is the measure of <4
65°
25°
50°
155°
Answers
Explanation
Angle 1 and angle 4 create a straight angle.
Straight angle theory states the sum of two straight angles = 180.
180 - 25 = 155
So angle 4 = 155 degrees
Spiral Review
8. The temperature in Alaska is -6 °C and drops to -11 °C overnight.
Write and evaluate a subtraction expression to determine the change
in temperature.
Answers
Answer:
The subtraction expression to determine the change in temperature is:
-11 °C - (-6 °C)
Simplifying the expression:
-11 °C + 6 °C
The change in temperature is -5 °C.
in a certain infinite geometric series, the first term is 1, and each term is equal to the sum of the two terms after it. (for example, the first term is equal to the sum of the second term and third term). if $s$ is the sum of the series and $r$ is the common ratio, find $s - r$.
Answers
The value of s-r is 2
What is common ratio?
In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.
each term is equal to the sum of the two terms after it.
=> ar^n = ar^(n+1) + ar^(n+2)
On dividing both the sides by ar^n and simplfying we get
r= 0.618
sum of the series is:
s= a/(1-r) , a=first term
=> s= 1/(1-0.618 )
=> s= 2.618
s-r = 2.618 - 0.618 = 2
The value of s-r is 2
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100 POINTS PLEASE HELP When adjusting entries in accounting, an accountant will compare their analysis of the trial balance with what source?
A. the government
C. the general ledger
B. the CEO
D. GAAP
Answers
Answer: i beleive it is the CEO
Step-by-step explanation:
Answer:
the correct answer is C, the general ledger.
Step-by-step explanation:
When adjusting entries in accounting, an accountant will compare their analysis of the trial balance with the company's general ledger accounts. The general ledger is the master set of accounts that contains all the transactions of the company, including adjusting entries. Adjusting entries are made at the end of an accounting period to update the accounts and ensure that the financial statements accurately reflect the company's financial position and results of operations. These entries may involve accruals of revenue or expenses, prepayments, depreciation, or other adjustments. After making these entries, the accountant will compare the updated balances in the general ledger to the trial balance to ensure that they are accurate and balanced. Therefore, the correct answer is C, the general ledger.
In a population of 6000 cave-dwelling fish, eyesight is under selection. Fish that are homozygous for allele A1 have good eyesight, fish that are homozygous for A2 are blind and fish that are heterozygous have poor eyesight. In the dark caves that these fish live in, the cost of good eyesight is higher than the benefits and having good eyesight is thus deleterious. Blind fish have a selective advantage of 0.25, fish with poor eyesight have a selection coefficient of 0.05. Which statement is true?
I. Fish with good eyesight have a fitness W = 0
II. The trait blindness is likely to increase in this population
I
II
Both are false
Both are true
Answers
Answer: I am in high school so this may not be the best answer, but I would say that eventually eye sight would simply become useless to the fish because they live in a cave and don’t really need to see, there for I would say that the second answer is correct.
Suppose that a farmer has 75 rods (4 rods = 1 acre) on which to plant two crops: wheat and corn. To produce these crops, it costs the farmer (for seed, water, fertilizer, etc. ) $120 per rod for the wheat, and $210 per rod for the corn. The farmer has $15,000 available for expenses, but after the harvest the farmer must store the crops while awaiting favorable or good market conditions. The farmer has storage space for 4,000 bushels. Each rod yields an average of 110 bushels of wheat or 30 bushels of corn. If the net profit per bushel of wheat (after all the expenses) is $1.30 and for corn is $2.00, how should the merry farmer plant the 75 rods to maximize profit?
Use the optimization method described in the lecture.
Answers
Difference of density per acre of wheat and corn = 105
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given:
Yield in 110 acre farm = 17,600 Bushes of corn
Yield in 250 acre farm = 13,750 Bushes of wheat
Find:
Difference of density per acre of wheat and corn
Computation:
Yield per acres Bushes of corn = 17,600 / 110
Yield per acres Bushes of corn = 160
Yield per acres Bushes of wheat = 13,750 / 250
Yield per acres Bushes of wheat = 55
Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat
Difference of density per acre of wheat and corn = 160 - 55
Difference of density per acre of wheat and corn = 105
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To find the volume of a prism, Frank multiplies the area of the base by the height. Frank finds the area of the base of a rectangular prism is 24 square inches.
How many inch cubes are needed to fill the bottom layer of the prism?
Answers
Answer:
24 inch cubes are needed to fill the bottom layer of the prism.
1/2 x^2 +. 1 =0
solve each equation by graphing related function
Answers
Answer:
Step-by-step explanation:
1) The eighth grade class has 20% fewer students this year than they
had as seventh graders. Write an expression to show the decline in
class numbers, and then simplify the expression. Use (s) to represent
the number of seventh grade students.
Answers
Answer:
Step-by-step explanation:
To represent the number of eighth-grade students, we can use the expression:
0.8s
This is because the problem states that there are 20% fewer students in the eighth grade than in the seventh grade, which means that the number of eighth-grade students is equal to 80% of the number of seventh-grade students.
To simplify this expression, we can use the distributive property:
0.8s = 1s - 0.2s
This shows that the number of eighth-grade students is equal to the number of seventh-grade students minus 20% of the number of seventh-grade students. We can further simplify this to:
0.8s = 0.8s
This means that the number of eighth-grade students is equal to 80% of the number of seventh-grade students, which is consistent with the original problem statement.
(2x + 3) (3x − 2) + (3 - 4x) (2x + 3) - 4x²+9 is equivalent to which of the following expressions?
Answers
Answer:
Step-by-step explanation:
(2x + 3)(3x - 2) + (3 - 4x)(2x + 3) - 4x² + 9 FOIL the first and second set of parentheses.
6x² - 4x + 9x - 6 + 6x + 9 - 8x² - 12x - 4x² + 9 Combine like terms
-6x² - x + 12 Factor.
(-3x + 4)(2x + 3)
What is the volume of this figure?
Answers
Answer:
400m³
Step-by-step explanation:
Multiply each section individually. First, multiply 8 x 5 x 4. This gives you 160. Now you multiply 5 x 12 x 4, which equals 240.
Now you add them together to get 400.
In Exercises 9 to 14, find the limit of each function at the given point, or explain why it does not exist. 10. f(z) = Arg z at Zo--1 11. f(z) = (1-Im z)-1 at z,-8 and then at zo-8 +1 12.f(z) = (z _ 2) log(z-21 at zo = 2 13, f(z) =-, z#0 at zo = 0 14. f(z) = 2+21,
Previous question
Answers
The limit of each function at the given point i n the question 10 to 14, is explained below.
Limit Of A function:A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.
When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a
10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.
11). The limit of f(z) = [tex](1 - lm z)^{-1}[/tex] as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.
However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.
12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.
13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.
14). The limit of f(z) = 2 + [tex]2^{1/z}[/tex] as z approaches infinity does not exist. This is because as z approaches infinity, the term [tex]2^{1/z}[/tex] approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of [tex]2^{1/z}[/tex] approaches 1, but if we approach infinity along the imaginary axis, the limit of [tex]2^{1/z}[/tex] approaches infinity. Therefore, the limit of f(z) does not exist.
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A wall is to be constructed by using tiles, each of the tile's dimensions are 10cm by 20cm by 0.67cm. What is the volume of each tile?
Responses
96.2 cm³
44.7 cm³
200 cm³
134 cm³
Answers
The volume of each tile is 134 cm³.
Describe Volume of Cuboid?The volume of a cuboid is the amount of space it occupies in three-dimensional space. A cuboid is a three-dimensional geometric shape with six rectangular faces, where each face has perpendicular edges to two other adjacent faces. The formula for calculating the volume of a cuboid is V = l x w x h, where V is the volume, l is the length of the cuboid, w is the width of the cuboid, and h is the height of the cuboid.
To calculate the volume of a cuboid, first measure its length, width, and height. Then, multiply the length by the width and the height, and then multiply the result by the height again. This gives the volume of the cuboid in cubic units, such as cubic inches, cubic centimeters, or cubic meters.
For example, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, the volume can be calculated as follows:
V = l x w x h
V = 5 cm x 3 cm x 2 cm
V = 30 cubic centimeters
Therefore, the volume of the cuboid is 30 cubic centimeters.
The volume of each tile can be calculated by multiplying its length, width, and height:
Volume = 10 cm × 20 cm × 0.67 cm = 134 cm³
Therefore, the volume of each tile is 134 cm³.
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Which is a correct classification for this triangle?
Answers
Answer: Obtuse Triangle
Step-by-step explanation:
63 + 22 = 85
180 - 85 = 95
Since the unknown angle is over 90 degrees, it is an obtuse triangle.
solve for d
60 = 4d-8
8=?
Answers
Answer:
17
Step-by-step explanation:
60=4d-8
We move all terms to the left:
60-(4d-8)=0
We get rid of parentheses
-4d+8+60=0
We add all the numbers together, and all the variables
-4d+68=0
We move all terms containing d to the left, all other terms to the right
-4d=-68
d=-68/-4
d=17
Which point on the number line best represents –1?
Answers
Answer:
R
Step-by-step explanation:
-1 is exactly between 0 and -2, meaning that the answer is R.
R is the right answer
6th grade mathematics problem
Answers
The two numbers are 10 and 12
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.
The two numbers that have their highest factor as 2 are 4 and 6, 6 and 8, 8 and 10 and 10 and 12.
The numbers above which have least common multiple of 60 are
multiple of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60
multiple of 6; 6,12,18,24,30,36,42,48,54,60
multiple in of 10: 10,20,30,40,50,60
multiple of 12: 12,24,36,48,60.
The least common multiple of 6 and 10 is 30
but the least common multiple of 12 and 10 is 60
therefore the two numbers are 12 and 10.
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Your itinerary contains a grid map of Washington D.C., with each unit on the grid representing 0.25
miles. If Arlington Cemetery is located at (−1,1)
and the Pentagon is located at (5,−6)
, what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in miles? Round your answer to two decimal places, if necessary.
Answers
It is found that the distance between the two memorials is of 1,42 miles.
The distance between two points (x1 , y1) and (x2 , y2) is of:
Distance formula = [tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
One memorial is at point (3,-1).
The other is at point (7, -5).
Thus, in the coordinate grid, the distance is of:
D = 5.66
In the coordinate, the distance is of 5.66 units. Each unit is worth 0.25 miles, thus:
D = 5.66 units
The distance between the two parks is of 1.42 miles.
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Please help me with this one ?
Answers
=9/2
According to me when you simplify these numbers on the calculator it gave me 9/2.
Problem: (3/2) + (3/2) + (3/2) = unknown value, times (1/2)
Solution:
First, we can simplify the left side by adding the fractions:
(3/2) + (3/2) + (3/2) = 9/2
Next, we can divide both sides by (1/2) to solve for the unknown value:
(9/2) ÷ (1/2) = 9
Therefore, the answer is 9.
A scale factor of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
Answers
Answer:
A scale factor of a famous statue uses a scale factor of 210:1. If the height of the drawing is 1.2 feet, what is the actual height of the statue?
The actual height of the statue is 252 feet (1.2 x 210).
Answer:
252
Step-by-step explanation:
40 Answer:
Solve the equation by a method of your choice:
x2 - 36 = 0
If there are two solutions, separate the solutions by a comma.
41 Answer:
Solve the equation by a method of your choice:
x2 + 12x + 36 = 0
If there are two solutions, separate the solutions by a comma.
Answers
The solution of the equations are
x^2 - 36 = 0
x = 6, -6
The equation x2 + 12x + 36 = 0
x = -6, -6
How to solve the equationsThe equation x^2 - 36 = 0 is solved as follows
x^2 - 36 = 0
x = ±√36
x = 6 or -6
The quadratic equation x^2 + 12x + 36 = 0 is solved as follows
x^2 + 6x + 6x + 36 = 0
x(x + 6) + 6(x + 6) = 0
(x + 6)(x + 6) = 0
hence
x = -6 and -6
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As an oil well is drilled, each new section of drill pipe supports its own weight and that of the pipe and drill bit beneath it. Calculate the stretch in a new 6.00 m length of steel pipe that supports 3.00 km of pipe having a mass of 20.0 kg/m and a 100-kg drill bit. The pipe is equivalent in stiffness to a solid cylinder 5.00 cm in diameter.
Answers
Therefore, the cylinder stretch in the new 6.00 m length of steel pipe is 0.094% of its original length, or about 5.64 mm.
What is a cylinder?The cylinder, which is frequently a three-dimensional solid, is one of the most primitive curved geometric forms. In simple geometry, it is known as a prismatic with a circular as its basis. The term "cylinder" is also used to refer to an infinitely curved surface in a number of modern domains of geometry and topology. A "cylinder" is a three-dimensional object made up of curved surfaces with round tops and bottoms.
Here,
The total weight supported by the new 6.00 m length of pipe is the weight of the pipe and drill bit beneath it, which is:
W = (20.0 kg/m)(3.00 km) + 100 kg
W = 60,100 kg
The equivalent diameter of the solid cylinder is 5.00 cm, or 0.05 m, so its radius is 0.025 m. The cross-sectional area of the steel pipe is therefore:
A = πr^2 = π(0.025 m)^2 = 0.0019635 m^2
The modulus of elasticity for steel is typically around 200 GPa (gigapascals), or 200,000,000 N/m^2. Using the formula for the stretch of a rod under tension, which is:
ΔL/L = F/(AE)
ΔL/L = (Wg)/(AE)
where g is the acceleration due to gravity (9.81 m/s^2).
Substituting the values we have calculated, we get:
ΔL/L = [(60,100 kg)(9.81 m/s^2)]/[(0.0019635 m^2)(200,000,000 N/m^2)]
ΔL/L = 0.0009397 or 0.094%
Therefore, the stretch in the new 6.00 m length of steel pipe is 0.094% of its original length, or about 5.64 mm.
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A local bakery celebrated its one-year anniversary on Saturday. On that day, every 4 customer
received a free cookie. Every 6th customer received a free muffin.
3. (20 points) Casey was the 3rd customer to receive both a free cookie and a free muffin. What
number was Casey?
Answers
Casey's number is given as follows:
36.
How to obtain Casey's number?Considering periodic events, they will repeat on the same day for the least common factor of the periods of each event.
The periods are given as follows:
Free cookie: Every 4th customer.Free muffin: Every 6th customer.The least common factor of 4 and 6 is obtained as follows:
4 - 6|2
2 - 3|2
1 - 3|3
1
Hence:
lcm(2,3) = 2² x 3 = 12.
This means that one in 12 customers receive both the free cookie and the free muffin. Casey is the third customer to receive both of them, hence the number is given as follows:
3 x 12 = 36.
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The following table lists numbers in their standard and scientific notations. Fill in the missing values.
The first two have been completed for you as examples.
Standard Notation
Answers
The numbers are written in their standard and scientific notations as follows. Fill in the missing values accordingly.
3.0 * 10⁴ = 3000
6.79 * 10⁻³ = 0.00679
0.0216 = 2.16 * 10⁻²
9.02 * 10⁷ = 90200000
1000000 = 10⁶
1.02 * 10⁻⁵ = 0.0000102
0.000723 = 7.23 * 10⁻⁴
9.99 * 10⁹ = 990000000
56000 = 5.6 * 10⁴
How to express the number using scientific notation?Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It is also called standard form or standard index form e.g 1000000 = 10⁶ and 0.0001 = 10⁻⁴
3.0 * 10⁴ = 3.0 * 10000 = 3000
6.79 * 10⁻³ = 6.79 * 0.001 = 0.00679
0.0216 = 2.16 * 10⁻²
9.02 * 10⁷ = 9.02 * 10000000 = 90200000
1000000 = 10⁶
1.02 * 10⁻⁵ = 1.02 * 0.0001 = 0.0000102
0.000723 = 7.23 * 10⁻⁴
9.99 * 10⁹ = 990000000
56000 = 5.6 * 10⁴
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